34188480 has 140 divisors (see below), whose sum is σ = 121706640. Its totient is φ = 9110016.

The previous prime is 34188439. The next prime is 34188491. The reversal of 34188480 is 8488143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25261 + ... + 26579.

Almost surely, 2^34188480 is an apocalyptic number.

34188480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853320).

34188480 is an abundant number, since it is smaller than the sum of its proper divisors (87518160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34188480 is a wasteful number, since it uses less digits than its factorization.

34188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 34188480 is about 5847.0915847112. The cubic root of 34188480 is about 324.5587067921.

The spelling of 34188480 in words is "thirty-four million, one hundred eighty-eight thousand, four hundred eighty".